28743613416000 has 1344 divisors, whose sum is σ = 121888850903040. Its totient is φ = 6327175680000.

The previous prime is 28743613415983. The next prime is 28743613416017. The reversal of 28743613416000 is 61431634782.

28743613416000 is a `hidden beast` number, since 2 + 8 + 7 + 4 + 3 + 6 + 1 + 34 + 1 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28743613415983) and next prime (28743613416017).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3296659641 + ... + 3296668359.

Almost surely, 2^{28743613416000} is an apocalyptic number.

28743613416000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28743613416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60944425451520).

28743613416000 is an abundant number, since it is smaller than the sum of its proper divisors (93145237487040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28743613416000 is a wasteful number, since it uses less digits than its factorization.

28743613416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9001 (or 8978 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 28743613416000 in words is "twenty-eight trillion, seven hundred forty-three billion, six hundred thirteen million, four hundred sixteen thousand".